EXISTENCE, STABILITY AND NUMERICAL

ANALYSIS OF A FRACTIONAL NEUTRAL

IMPLICIT DELAY DIFFERENTIAL SYSTEM WITH AN EXPONENTIAL KERNEL^*

Velusamy Kavitha Ravi Deepa Balakrishnan Ganesh Priya^§

Seenith Sivasundaram^¶ Mani Mallika Arjunan

Abstract

This article addresses the existence, uniqueness and stability analysis for various classes of implicit fractional neutral delay (finite and infinite) differential systems (IFNDDSs) employing the Caputo-Fabrizio operator (CFO). The findings rely on the application of specific fixedpoint theorems. Additionally, illustrative numerical examples are presented in the concluding section to clarify and demonstrate the derived results.

Keywords: Fractional-order, Caputo-Fabrizio fractional derivative, existence and uniqueness, fixed point.

MSC: 26A33.

DOI https://doi.org/10.56082/annalsarscimath.2024.2.182

Abstract Article Volume 16 no 2 / 2024